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Finding the Fourth Proportional to 334,144.81, 501,309.71 and 154,285.27

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Solution

The fourth proportional to 334,144.81, 501,309.71 and 154,285.27 is: 231,470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,144.81 : 501,309.71 = 154,285.27 : x
  2. Step 2: Convert to fraction form
    334,144.81/501,309.71 = 154,285.27/x
  3. Step 3: Cross multiply
    334,144.81x = 501,309.71 × 154,285.27
  4. Step 4: Simplify right side
    334,144.81x = 77,344,703,960.97
  5. Step 5: Solve for x
    x = 77,344,703,960.97/334,144.81
  6. Step 6: Final answer
    x = 231,470.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.